As a counterpoint, there is also a danger to writing without reading. Reading other people's work can stop you from needlessly reinventing what already exists. It informs your opinions and reminds you to consider things that you might have otherwise neglected to. It can also act as a reality check and prevent you from disappearing too far up your own bumhole (when you write about something, and then write about what you wrote, and iterate until your whole argument becomes a house of cards).

For balance, I recommend keeping a pen and a paper by you (or a text editor open) and occasionally pausing your reading to have a scribble whenever something strikes you as interesting.

Additionally, the thing that you absolutely must take the trouble to read are other people's comments on what you have written (exceptions allowed for people who get too many of these comments to make that practical).